400000016 has 60 divisors (see below), whose sum is σ = 868309380. Its totient is φ = 178214400.

The previous prime is 400000009. The next prime is 400000043. The reversal of 400000016 is 610000004.

It can be written as a sum of positive squares in 6 ways, for example, as 190329616 + 209670400 = 13796^2 + 14480^2 .

It is a junction number, because it is equal to n+sod(n) for n = 399999952 and 400000006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75866 + ... + 80966.

It is an arithmetic number, because the mean of its divisors is an integer number (14471823).

Almost surely, 2^400000016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434154690).

400000016 is an abundant number, since it is smaller than the sum of its proper divisors (468309364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400000016 is a wasteful number, since it uses less digits than its factorization.

400000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5164 (or 5145 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 400000016 is about 20000.0004000000. Note that the first 3 decimals coincide. The cubic root of 400000016 is about 736.8063095522.

It can be divided in two parts, 4000000 and 16, that multiplied together give a 6-th power (64000000 = 20⁶).

The spelling of 400000016 in words is "four hundred million, sixteen", and thus it is an aban number.